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Finding the Fourth Proportional to 513.84, 770.56 and 189.13

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Solution

The fourth proportional to 513.84, 770.56 and 189.13 is: 283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.84 : 770.56 = 189.13 : x
  2. Step 2: Convert to fraction form
    513.84/770.56 = 189.13/x
  3. Step 3: Cross multiply
    513.84x = 770.56 × 189.13
  4. Step 4: Simplify right side
    513.84x = 145,735.07
  5. Step 5: Solve for x
    x = 145,735.07/513.84
  6. Step 6: Final answer
    x = 283.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.